Search a number
-
+
225007057751 = 76110117929147
BaseRepresentation
bin1101000110001101110…
…1110011101101010111
3210111210010110211201112
43101203131303231113
512141303301322001
6251211122045235
722153612301630
oct3214335635527
9714703424645
10225007057751
1187474688883
12377364a981b
13182ab156c78
14ac67384887
155cbda8ccbb
hex3463773b57

225007057751 has 32 divisors (see below), whose sum is σ = 265438010880. Its totient is φ = 186767568000.

The previous prime is 225007057727. The next prime is 225007057789. The reversal of 225007057751 is 157750700522.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225007057751 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225007057699 and 225007057708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225007057721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7705160 + ... + 7734306.

It is an arithmetic number, because the mean of its divisors is an integer number (8294937840).

Almost surely, 2225007057751 is an apocalyptic number.

225007057751 is a deficient number, since it is larger than the sum of its proper divisors (40430953129).

225007057751 is a wasteful number, since it uses less digits than its factorization.

225007057751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29495.

The product of its (nonzero) digits is 171500, while the sum is 41.

The spelling of 225007057751 in words is "two hundred twenty-five billion, seven million, fifty-seven thousand, seven hundred fifty-one".

Divisors: 1 7 61 101 179 427 707 1253 6161 10919 18079 29147 43127 76433 126553 204029 1102819 1777967 2943847 5217313 7719733 12445769 20606929 36521191 179574667 318256093 526948613 1257022669 2227792651 3688640291 32143865393 225007057751